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3 years ago

Reduce fractions expressing probability to lowest terms.

Mathematics

1 answer:

igomit [66]3 years ago

6 0

Answer:

The expected probability is 1 over 6

So ,Your answer is : 1/6

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The Anchor Club is conducting a survey to find out if the students in the club want to participate in a school fundraiser. Cindy

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3 years ago

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Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in t

Tresset [83]

Answer: The volume of largest rectangular box is 4.5 units.

Step-by-step explanation:

Since we have given that

Volume = $xyz$

with subject to $x+2y+3z=9$

So, let $z=\dfrac{9-x-2y}{3}$

So, Volume becomes,

$V=xyz\\\\V=xy(\dfrac{9-x-2y}{3})\\\\V=\dfrac{9xy-x^2y-2xy^2}{3}$

Partially derivative wrt x and y we get that

$9-2x-2y=0\implies 2x+2y=9\\\\and\\\\9-x-4y=0\implies x+4y=9$

By solving these two equations, we get that

$x=3,y=\dfrac{3}{2}$

So, $z=\dfrac{9-x-2y}{3}=\dfrac{9-3-3}{3}=\dfrac{3}{3}=1$

So, Volume of largest rectangular box would be

$xyz=3\times \dfrac{3}{2}\times 1=\dfrac{9}{2}=4.5$

Hence, the volume of largest rectangular box is 4.5 units.

4 0

4 years ago

Symify 9 to the 2 power / 9 to the 7 power

fenix001 [56]

9514 1404 393

Answer:

1/9^5

Step-by-step explanation:

$\dfrac{9^2}{9^7}=\dfrac{9\cdot 9}{9\cdot 9\cdot 9\cdot 9\cdot 9\cdot 9\cdot 9}=\dfrac{1}{9\cdot 9\cdot 9\cdot 9\cdot 9}=\boxed{\dfrac{1}{9^5}}$

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3 years ago

5x+y when x=6 and y=-2

kenny6666 [7]

Answer:

Step-by-step explanation:

5(6) + (-2) = 30 + (-2) = 30-2 = 28

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2 years ago

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Which describes how to find the solution to 3p < 14?

Flura [38]

Answer:

p < 14/3

Step-by-step explanation:

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3 years ago